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42265296 = 2432292349
BaseRepresentation
bin1010000100111…
…0101011010000
32221112022002100
42201032223100
541304442141
64105520400
71022151303
oct241165320
987468070
1042265296
11219485a7
12121a3100
1389aa968
145882b3a
153a9d0b6
hex284ead0

42265296 has 90 divisors (see below), whose sum is σ = 122854550. Its totient is φ = 13563648.

The previous prime is 42265273. The next prime is 42265309. The reversal of 42265296 is 69256224.

It can be written as a sum of positive squares in 3 ways, for example, as 11128896 + 31136400 = 3336^2 + 5580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42265296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120930 + ... + 121278.

Almost surely, 242265296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42265296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61427275).

42265296 is an abundant number, since it is smaller than the sum of its proper divisors (80589254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42265296 is a wasteful number, since it uses less digits than its factorization.

42265296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 383 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42265296 is about 6501.1765089098. The cubic root of 42265296 is about 348.3330145573. Note that the first 3 decimals are identical.

The spelling of 42265296 in words is "forty-two million, two hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 349 464 522 696 698 841 1044 1047 1392 1396 1682 2088 2094 2523 2792 3141 3364 4176 4188 5046 5584 6282 6728 7569 8376 10092 10121 12564 13456 15138 16752 20184 20242 25128 30276 30363 40368 40484 50256 60552 60726 80968 91089 121104 121452 161936 182178 242904 293509 364356 485808 587018 728712 880527 1174036 1457424 1761054 2348072 2641581 3522108 4696144 5283162 7044216 10566324 14088432 21132648 42265296